Lineare Gleichungen lösen
Mathematik · Klasse 7 · mittel
Klasse 7MSA-Vorbereitung
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Auf beiden Seiten dasselbe tun. Erst x-Glieder auf eine Seite, dann Zahlen auf die andere.
A Zweischrittige Gleichungen
- 4x - 15 = -47 → 4x = -32 → x = -8
- 4x - 11 = -11
- 5x + 23 = 53
- 3x - 8 = 10
- 5x + 23 = 48
- 3x + 25 = 52
- 4x + 15 = 19
- 2x + 11 = 25
B x auf beiden Seiten
- 8x + 1 = 5x + 4 → 3x = 3 → x = 1
- 6x + 12 = 5x + 18
- 8x + 11 = 3x + 41
- 8x - 8 = 4x - 24
- 9x + 5 = 3x + 65
- 8x + 14 = 2x + 38
A Zweischrittig
- 4x - 15 = -47 → 4x = -32 → x = -8
- 4x - 11 = -11 → 4x = 0 → x = 0
- 5x + 23 = 53 → 5x = 30 → x = 6
- 3x - 8 = 10 → 3x = 18 → x = 6
- 5x + 23 = 48 → 5x = 25 → x = 5
- 3x + 25 = 52 → 3x = 27 → x = 9
- 4x + 15 = 19 → 4x = 4 → x = 1
- 2x + 11 = 25 → 2x = 14 → x = 7
B Beidseitig
- 8x + 1 = 5x + 4 → 3x = 3 → x = 1
- 6x + 12 = 5x + 18 → x = 6 → x = 6
- 8x + 11 = 3x + 41 → 5x = 30 → x = 6
- 8x - 8 = 4x - 24 → 4x = -16 → x = -4
- 9x + 5 = 3x + 65 → 6x = 60 → x = 10
- 8x + 14 = 2x + 38 → 6x = 24 → x = 4
Auf beiden Seiten dasselbe tun. Erst x-Glieder auf eine Seite, dann Zahlen auf die andere.
A Zweischrittige Gleichungen
- 2x + 27 = 25 → 2x = -2 → x = -1
- 8x + 12 = 20
- 4x + 20 = 8
- 9x + 29 = -25
- 5x + 9 = 34
- 7x + 5 = 75
- 2x + 8 = 0
- 6x + 7 = 49
B x auf beiden Seiten
- 4x + 11 = 2x + 9 → 2x = -2 → x = -1
- 8x + 10 = 6x + 26
- 5x + 16 = 2x + 28
- 5x + 6 = 4x + 12
- 5x + 13 = 3x + 3
- 4x + 13 = 2x + 7
C Mit Klammern
- 5(3x + 7) = 95 → 15x + 35 = 95 → x = 4
- 4(5x + 7) = 48
- 5(5x + 9) = -5
- 6(3x + 3) = 90
- 5(5x + 8) = 40
A Zweischrittig
- 2x + 27 = 25 → 2x = -2 → x = -1
- 8x + 12 = 20 → 8x = 8 → x = 1
- 4x + 20 = 8 → 4x = -12 → x = -3
- 9x + 29 = -25 → 9x = -54 → x = -6
- 5x + 9 = 34 → 5x = 25 → x = 5
- 7x + 5 = 75 → 7x = 70 → x = 10
- 2x + 8 = 0 → 2x = -8 → x = -4
- 6x + 7 = 49 → 6x = 42 → x = 7
B Beidseitig
- 4x + 11 = 2x + 9 → 2x = -2 → x = -1
- 8x + 10 = 6x + 26 → 2x = 16 → x = 8
- 5x + 16 = 2x + 28 → 3x = 12 → x = 4
- 5x + 6 = 4x + 12 → x = 6 → x = 6
- 5x + 13 = 3x + 3 → 2x = -10 → x = -5
- 4x + 13 = 2x + 7 → 2x = -6 → x = -3
C Mit Klammern
- 5(3x + 7) = 95 → 15x + 35 = 95 → x = 4
- 4(5x + 7) = 48 → 20x + 28 = 48 → x = 1
- 5(5x + 9) = -5 → 25x + 45 = -5 → x = -2
- 6(3x + 3) = 90 → 18x + 18 = 90 → x = 4
- 5(5x + 8) = 40 → 25x + 40 = 40 → x = 0
Auf beiden Seiten dasselbe tun. Erst x-Glieder auf eine Seite, dann Zahlen auf die andere.
A Zweischrittige Gleichungen
- 7x + 10 = 94 → 7x = 84 → x = 12
- 3x - 13 = -10
- 5x - 20 = -45
- 10x - 13 = 17
- 9x + 7 = 106
- 6x - 4 = -28
- 9x + 2 = -25
- 5x - 8 = -8
B x auf beiden Seiten
- 8x + 19 = 2x + 55 → 6x = 36 → x = 6
- 8x - 9 = 7x - 8
- 8x + 5 = 6x + 3
- 9x + 20 = 8x + 15
- 9x - 13 = 4x + 32
- 4x - 7 = 2x - 7
C Mit Klammern
- 2(5x + 6) = -38 → 10x + 12 = -38 → x = -5
- 6(5x + 7) = -18
- 5(4x + 2) = 90
- 2(5x + 2) = 44
- 6(2x + 7) = 18
A Zweischrittig
- 7x + 10 = 94 → 7x = 84 → x = 12
- 3x - 13 = -10 → 3x = 3 → x = 1
- 5x - 20 = -45 → 5x = -25 → x = -5
- 10x - 13 = 17 → 10x = 30 → x = 3
- 9x + 7 = 106 → 9x = 99 → x = 11
- 6x - 4 = -28 → 6x = -24 → x = -4
- 9x + 2 = -25 → 9x = -27 → x = -3
- 5x - 8 = -8 → 5x = 0 → x = 0
B Beidseitig
- 8x + 19 = 2x + 55 → 6x = 36 → x = 6
- 8x - 9 = 7x - 8 → x = 1 → x = 1
- 8x + 5 = 6x + 3 → 2x = -2 → x = -1
- 9x + 20 = 8x + 15 → x = -5 → x = -5
- 9x - 13 = 4x + 32 → 5x = 45 → x = 9
- 4x - 7 = 2x - 7 → 2x = 0 → x = 0
C Mit Klammern
- 2(5x + 6) = -38 → 10x + 12 = -38 → x = -5
- 6(5x + 7) = -18 → 30x + 42 = -18 → x = -2
- 5(4x + 2) = 90 → 20x + 10 = 90 → x = 4
- 2(5x + 2) = 44 → 10x + 4 = 44 → x = 4
- 6(2x + 7) = 18 → 12x + 42 = 18 → x = -2